The only thing the vaccination would affect is the surface antibody (HBsAB) result
NO!, vaccination would not show you positive for HBsAG. If the HBsAG were ever positive it would not be due to vaccination.
A successful vaccination would be:
HBsAg: NEGATIVE
HBcAB: NEGATIVE
HBsAB: POSITIVE
An unsuccessful vaccination would be:
HBsAg: NEGATIVE
HBcAB: NEGATIVE
HBsAB: NEGATIVE
The vaccine contains HBsAg but not the virus. I think that this would make the test show you positive for HBsAg. I do not have info on how far apart you must time your vaccination and HBsAg test. Check with your doctors on this one.